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Item Details
Title: CONVOLUTION AND EQUIDISTRIBUTION
SATO-TATE THEOREMS FOR FINITE-FIELD MELLIN TRANSFORMS (AM-180)
By: Nicholas M. Katz
Format: Paperback

List price: £88.00
Our price: £70.40
Discount:
20% off
You save: £17.60
ISBN 10: 0691153310
ISBN 13: 9780691153315
Availability: Usually dispatched within 1-3 weeks.
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Publisher: PRINCETON UNIVERSITY PRESS
Pub. date: 24 January, 2012
Series: Annals of Mathematics Studies
Pages: 208
Description: Explores an important aspect of number theory - the theory of exponential sums over finite fields and their Mellin transforms - from a categorical point of view. This book presents fundamentally important results and a plethora of examples, opening up new directions in the subject.
Synopsis: Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters. The basic question considered in the book is how the values of the Mellin transform are distributed (in a probabilistic sense), in cases where the input function is suitably algebro-geometric. This question is answered by the book's main theorem, using a mixture of geometric, categorical, and group-theoretic methods. By providing a new framework for studying Mellin transforms over finite fields, this book opens up a new way for researchers to further explore the subject.
Publication: US
Imprint: Princeton University Press
Returns: Returnable
Some other items by this author:
ARITHMETIC MODULI OF ELLIPTIC CURVES. (AM-108)
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CONVOLUTION AND EQUIDISTRIBUTION (HB)
EXPONENTIAL SUMS AND DIFFERENTIAL EQUATIONS. (AM-124)
EXPONENTIAL SUMS AND DIFFERENTIAL EQUATIONS. (AM-124), VOLUME 124 (PB)
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MOMENTS, MONODROMY AND PERVERSITY (HB)
MOMENTS, MONODROMY, AND PERVERSITY. (AM-159)
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RANDOM MATRICES, FROBENIUS EIGENVALUES, AND MONODROMY
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RIGID LOCAL SYSTEMS (HB)
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RIGID LOCAL SYSTEMS. (AM-139), VOLUME 139 (PB)
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TWISTED L-FUNCTIONS AND MONODROMY (HB)
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